Reconstructing the topology on monoids and polymorphism clones of the rationals
arXiv:1603.01550 · doi:10.1007/s11225-016-9682-z
Abstract
We show how to reconstruct the topology on the monoid of endomorphisms of the rational numbers under the strict or reflexive order relation, and the polymorphism clone of the rational numbers under the reflexive relation. In addition we show how automatic homeomorphicity results can be lifted to polymorphism clones generated by monoids.
16 pages
References in corpus (1)
Cited by in corpus (6)
- Polish topologies on endomorphism monoids of relational structures
- Reconstructing the topology on monoids and polymorphism clones of reducts of the rationals
- Automatic Homeomorphicity of Locally Moving Clones
- Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones
- On a stronger reconstruction notion for monoids and clones
- Polymorphism clones of homogeneous structures (Universal homogeneous polymorphisms and automatic homeomorphicity)